form the quadratic polynomial whose zeroes are 1/a and 1/b
Answers
Answered by
42
x² - (sum of zeroes)x + product of zeroes
x² - (1/a + 1/b )x + 1/a × 1/b
x² - ((b+a)/ab)x + 1/ab
Answered by
24
is the quadratic polynomial whose zeroes are 1/a and 1/b
Solution:
The general quadratic equation is:
From given,
Find sum of zeros:
Find product of zeros:
Therefore, the quadratic equation is given as:
Thus the quadratic polynomial is found
Learn more:
Find a quadratic polynomial with zeros −2 and 1/3.
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